Atkin-Lehner |
2+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760k |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4331600000000 = 210 · 58 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231227,42796154] |
[a1,a2,a3,a4,a6] |
j |
1335178680727760964/4230078125 |
j-invariant |
L |
2.7124606452337 |
L(r)(E,1)/r! |
Ω |
0.67811501117484 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61880i4 |
Quadratic twists by: -4 |